Dataset statistics
| Number of variables | 9 |
|---|---|
| Number of observations | 400 |
| Missing cells | 0 |
| Missing cells (%) | 0.0% |
| Duplicate rows | 0 |
| Duplicate rows (%) | 0.0% |
| Total size in memory | 28.2 KiB |
| Average record size in memory | 72.3 B |
Variable types
| NUM | 8 |
|---|---|
| BOOL | 1 |
Serial No. has unique values | Unique |
Reproduction
| Analysis started | 2020-12-15 11:14:06.653704 |
|---|---|
| Analysis finished | 2020-12-15 11:14:20.223761 |
| Duration | 13.57 seconds |
| Software version | pandas-profiling v2.9.0 |
| Download configuration | config.yaml |
| Distinct | 400 |
|---|---|
| Distinct (%) | 100.0% |
| Missing | 0 |
| Missing (%) | 0.0% |
| Infinite | 0 |
| Infinite (%) | 0.0% |
| Mean | 200.5 |
|---|---|
| Minimum | 1 |
| Maximum | 400 |
| Zeros | 0 |
| Zeros (%) | 0.0% |
| Memory size | 3.1 KiB |
Quantile statistics
| Minimum | 1 |
|---|---|
| 5-th percentile | 20.95 |
| Q1 | 100.75 |
| median | 200.5 |
| Q3 | 300.25 |
| 95-th percentile | 380.05 |
| Maximum | 400 |
| Range | 399 |
| Interquartile range (IQR) | 199.5 |
Descriptive statistics
| Standard deviation | 115.6143013 |
|---|---|
| Coefficient of variation (CV) | 0.5766299317 |
| Kurtosis | -1.2 |
| Mean | 200.5 |
| Median Absolute Deviation (MAD) | 100 |
| Skewness | 0 |
| Sum | 80200 |
| Variance | 13366.66667 |
| Monotocity | Strictly increasing |
Histogram with fixed size bins (bins=50)
| Value | Count | Frequency (%) | |
| 400 | 1 | 0.2% | |
| 137 | 1 | 0.2% | |
| 127 | 1 | 0.2% | |
| 128 | 1 | 0.2% | |
| 129 | 1 | 0.2% | |
| 130 | 1 | 0.2% | |
| 131 | 1 | 0.2% | |
| 132 | 1 | 0.2% | |
| 133 | 1 | 0.2% | |
| 134 | 1 | 0.2% | |
| Other values (390) | 390 | 97.5% |
| Value | Count | Frequency (%) | |
| 1 | 1 | 0.2% | |
| 2 | 1 | 0.2% | |
| 3 | 1 | 0.2% | |
| 4 | 1 | 0.2% | |
| 5 | 1 | 0.2% |
| Value | Count | Frequency (%) | |
| 400 | 1 | 0.2% | |
| 399 | 1 | 0.2% | |
| 398 | 1 | 0.2% | |
| 397 | 1 | 0.2% | |
| 396 | 1 | 0.2% |
GRE Score
Real number (ℝ≥0)
| Distinct | 49 |
|---|---|
| Distinct (%) | 12.2% |
| Missing | 0 |
| Missing (%) | 0.0% |
| Infinite | 0 |
| Infinite (%) | 0.0% |
| Mean | 316.8075 |
|---|---|
| Minimum | 290 |
| Maximum | 340 |
| Zeros | 0 |
| Zeros (%) | 0.0% |
| Memory size | 3.1 KiB |
Quantile statistics
| Minimum | 290 |
|---|---|
| 5-th percentile | 298 |
| Q1 | 308 |
| median | 317 |
| Q3 | 325 |
| 95-th percentile | 336 |
| Maximum | 340 |
| Range | 50 |
| Interquartile range (IQR) | 17 |
Descriptive statistics
| Standard deviation | 11.47364611 |
|---|---|
| Coefficient of variation (CV) | 0.03621645988 |
| Kurtosis | -0.700489457 |
| Mean | 316.8075 |
| Median Absolute Deviation (MAD) | 8 |
| Skewness | -0.06289345936 |
| Sum | 126723 |
| Variance | 131.6445551 |
| Monotocity | Not monotonic |
Histogram with fixed size bins (bins=49)
| Value | Count | Frequency (%) | |
| 324 | 19 | 4.8% | |
| 312 | 19 | 4.8% | |
| 316 | 14 | 3.5% | |
| 322 | 14 | 3.5% | |
| 314 | 14 | 3.5% | |
| 321 | 13 | 3.2% | |
| 325 | 13 | 3.2% | |
| 311 | 12 | 3.0% | |
| 317 | 12 | 3.0% | |
| 320 | 12 | 3.0% | |
| Other values (39) | 258 | 64.5% |
| Value | Count | Frequency (%) | |
| 290 | 2 | 0.5% | |
| 293 | 1 | 0.2% | |
| 294 | 2 | 0.5% | |
| 295 | 4 | 1.0% | |
| 296 | 5 | 1.2% |
| Value | Count | Frequency (%) | |
| 340 | 8 | 2.0% | |
| 339 | 3 | 0.8% | |
| 338 | 4 | 1.0% | |
| 337 | 1 | 0.2% | |
| 336 | 5 | 1.2% |
TOEFL Score
Real number (ℝ≥0)
| Distinct | 29 |
|---|---|
| Distinct (%) | 7.2% |
| Missing | 0 |
| Missing (%) | 0.0% |
| Infinite | 0 |
| Infinite (%) | 0.0% |
| Mean | 107.41 |
|---|---|
| Minimum | 92 |
| Maximum | 120 |
| Zeros | 0 |
| Zeros (%) | 0.0% |
| Memory size | 3.1 KiB |
Quantile statistics
| Minimum | 92 |
|---|---|
| 5-th percentile | 98 |
| Q1 | 103 |
| median | 107 |
| Q3 | 112 |
| 95-th percentile | 118 |
| Maximum | 120 |
| Range | 28 |
| Interquartile range (IQR) | 9 |
Descriptive statistics
| Standard deviation | 6.069513777 |
|---|---|
| Coefficient of variation (CV) | 0.05650790222 |
| Kurtosis | -0.5787784114 |
| Mean | 107.41 |
| Median Absolute Deviation (MAD) | 4 |
| Skewness | 0.0572159137 |
| Sum | 42964 |
| Variance | 36.83899749 |
| Monotocity | Not monotonic |
Histogram with fixed size bins (bins=29)
| Value | Count | Frequency (%) | |
| 110 | 37 | 9.2% | |
| 105 | 28 | 7.0% | |
| 107 | 26 | 6.5% | |
| 104 | 25 | 6.2% | |
| 106 | 24 | 6.0% | |
| 112 | 21 | 5.2% | |
| 100 | 19 | 4.8% | |
| 99 | 18 | 4.5% | |
| 111 | 17 | 4.2% | |
| 109 | 17 | 4.2% | |
| Other values (19) | 168 | 42.0% |
| Value | Count | Frequency (%) | |
| 92 | 1 | 0.2% | |
| 93 | 2 | 0.5% | |
| 94 | 1 | 0.2% | |
| 95 | 2 | 0.5% | |
| 96 | 4 | 1.0% |
| Value | Count | Frequency (%) | |
| 120 | 8 | 2.0% | |
| 119 | 9 | 2.2% | |
| 118 | 9 | 2.2% | |
| 117 | 7 | 1.8% | |
| 116 | 11 | 2.8% |
University Rating
Real number (ℝ≥0)
| Distinct | 5 |
|---|---|
| Distinct (%) | 1.2% |
| Missing | 0 |
| Missing (%) | 0.0% |
| Infinite | 0 |
| Infinite (%) | 0.0% |
| Mean | 3.0875 |
|---|---|
| Minimum | 1 |
| Maximum | 5 |
| Zeros | 0 |
| Zeros (%) | 0.0% |
| Memory size | 3.1 KiB |
Quantile statistics
| Minimum | 1 |
|---|---|
| 5-th percentile | 1 |
| Q1 | 2 |
| median | 3 |
| Q3 | 4 |
| 95-th percentile | 5 |
| Maximum | 5 |
| Range | 4 |
| Interquartile range (IQR) | 2 |
Descriptive statistics
| Standard deviation | 1.14372813 |
|---|---|
| Coefficient of variation (CV) | 0.3704382607 |
| Kurtosis | -0.7962869645 |
| Mean | 3.0875 |
| Median Absolute Deviation (MAD) | 1 |
| Skewness | 0.1712602774 |
| Sum | 1235 |
| Variance | 1.308114035 |
| Monotocity | Not monotonic |
Histogram with fixed size bins (bins=5)
| Value | Count | Frequency (%) | |
| 3 | 133 | 33.2% | |
| 2 | 107 | 26.8% | |
| 4 | 74 | 18.5% | |
| 5 | 60 | 15.0% | |
| 1 | 26 | 6.5% |
| Value | Count | Frequency (%) | |
| 1 | 26 | 6.5% | |
| 2 | 107 | 26.8% | |
| 3 | 133 | 33.2% | |
| 4 | 74 | 18.5% | |
| 5 | 60 | 15.0% |
| Value | Count | Frequency (%) | |
| 5 | 60 | 15.0% | |
| 4 | 74 | 18.5% | |
| 3 | 133 | 33.2% | |
| 2 | 107 | 26.8% | |
| 1 | 26 | 6.5% |
SOP
Real number (ℝ≥0)
| Distinct | 9 |
|---|---|
| Distinct (%) | 2.2% |
| Missing | 0 |
| Missing (%) | 0.0% |
| Infinite | 0 |
| Infinite (%) | 0.0% |
| Mean | 3.4 |
|---|---|
| Minimum | 1 |
| Maximum | 5 |
| Zeros | 0 |
| Zeros (%) | 0.0% |
| Memory size | 3.1 KiB |
Quantile statistics
| Minimum | 1 |
|---|---|
| 5-th percentile | 1.5 |
| Q1 | 2.5 |
| median | 3.5 |
| Q3 | 4 |
| 95-th percentile | 5 |
| Maximum | 5 |
| Range | 4 |
| Interquartile range (IQR) | 1.5 |
Descriptive statistics
| Standard deviation | 1.006868641 |
|---|---|
| Coefficient of variation (CV) | 0.2961378357 |
| Kurtosis | -0.6756103428 |
| Mean | 3.4 |
| Median Absolute Deviation (MAD) | 0.5 |
| Skewness | -0.2757611681 |
| Sum | 1360 |
| Variance | 1.013784461 |
| Monotocity | Not monotonic |
Histogram with fixed size bins (bins=9)
| Value | Count | Frequency (%) | |
| 3.5 | 70 | 17.5% | |
| 4 | 70 | 17.5% | |
| 3 | 64 | 16.0% | |
| 4.5 | 53 | 13.2% | |
| 2.5 | 47 | 11.8% | |
| 5 | 37 | 9.2% | |
| 2 | 33 | 8.2% | |
| 1.5 | 20 | 5.0% | |
| 1 | 6 | 1.5% |
| Value | Count | Frequency (%) | |
| 1 | 6 | 1.5% | |
| 1.5 | 20 | 5.0% | |
| 2 | 33 | 8.2% | |
| 2.5 | 47 | 11.8% | |
| 3 | 64 | 16.0% |
| Value | Count | Frequency (%) | |
| 5 | 37 | 9.2% | |
| 4.5 | 53 | 13.2% | |
| 4 | 70 | 17.5% | |
| 3.5 | 70 | 17.5% | |
| 3 | 64 | 16.0% |
LOR
Real number (ℝ≥0)
| Distinct | 9 |
|---|---|
| Distinct (%) | 2.2% |
| Missing | 0 |
| Missing (%) | 0.0% |
| Infinite | 0 |
| Infinite (%) | 0.0% |
| Mean | 3.4525 |
|---|---|
| Minimum | 1 |
| Maximum | 5 |
| Zeros | 0 |
| Zeros (%) | 0.0% |
| Memory size | 3.1 KiB |
Quantile statistics
| Minimum | 1 |
|---|---|
| 5-th percentile | 2 |
| Q1 | 3 |
| median | 3.5 |
| Q3 | 4 |
| 95-th percentile | 5 |
| Maximum | 5 |
| Range | 4 |
| Interquartile range (IQR) | 1 |
Descriptive statistics
| Standard deviation | 0.8984775483 |
|---|---|
| Coefficient of variation (CV) | 0.2602396954 |
| Kurtosis | -0.6624841166 |
| Mean | 3.4525 |
| Median Absolute Deviation (MAD) | 0.5 |
| Skewness | -0.1069914787 |
| Sum | 1381 |
| Variance | 0.8072619048 |
| Monotocity | Not monotonic |
Histogram with fixed size bins (bins=9)
| Value | Count | Frequency (%) | |
| 3 | 85 | 21.2% | |
| 4 | 77 | 19.2% | |
| 3.5 | 73 | 18.2% | |
| 4.5 | 45 | 11.2% | |
| 2.5 | 39 | 9.8% | |
| 2 | 38 | 9.5% | |
| 5 | 35 | 8.8% | |
| 1.5 | 7 | 1.8% | |
| 1 | 1 | 0.2% |
| Value | Count | Frequency (%) | |
| 1 | 1 | 0.2% | |
| 1.5 | 7 | 1.8% | |
| 2 | 38 | 9.5% | |
| 2.5 | 39 | 9.8% | |
| 3 | 85 | 21.2% |
| Value | Count | Frequency (%) | |
| 5 | 35 | 8.8% | |
| 4.5 | 45 | 11.2% | |
| 4 | 77 | 19.2% | |
| 3.5 | 73 | 18.2% | |
| 3 | 85 | 21.2% |
CGPA
Real number (ℝ≥0)
| Distinct | 168 |
|---|---|
| Distinct (%) | 42.0% |
| Missing | 0 |
| Missing (%) | 0.0% |
| Infinite | 0 |
| Infinite (%) | 0.0% |
| Mean | 8.598925 |
|---|---|
| Minimum | 6.8 |
| Maximum | 9.92 |
| Zeros | 0 |
| Zeros (%) | 0.0% |
| Memory size | 3.1 KiB |
Quantile statistics
| Minimum | 6.8 |
|---|---|
| 5-th percentile | 7.64 |
| Q1 | 8.17 |
| median | 8.61 |
| Q3 | 9.0625 |
| 95-th percentile | 9.601 |
| Maximum | 9.92 |
| Range | 3.12 |
| Interquartile range (IQR) | 0.8925 |
Descriptive statistics
| Standard deviation | 0.5963170965 |
|---|---|
| Coefficient of variation (CV) | 0.06934786575 |
| Kurtosis | -0.4584756257 |
| Mean | 8.598925 |
| Median Absolute Deviation (MAD) | 0.45 |
| Skewness | -0.06599054378 |
| Sum | 3439.57 |
| Variance | 0.3555940796 |
| Monotocity | Not monotonic |
Histogram with fixed size bins (bins=50)
| Value | Count | Frequency (%) | |
| 8 | 9 | 2.2% | |
| 8.76 | 8 | 2.0% | |
| 8.56 | 7 | 1.8% | |
| 8.45 | 6 | 1.5% | |
| 8.64 | 6 | 1.5% | |
| 9.11 | 6 | 1.5% | |
| 8.2 | 5 | 1.2% | |
| 8.8 | 5 | 1.2% | |
| 8.54 | 5 | 1.2% | |
| 8.65 | 5 | 1.2% | |
| Other values (158) | 338 | 84.5% |
| Value | Count | Frequency (%) | |
| 6.8 | 1 | 0.2% | |
| 7.2 | 1 | 0.2% | |
| 7.25 | 1 | 0.2% | |
| 7.28 | 1 | 0.2% | |
| 7.3 | 1 | 0.2% |
| Value | Count | Frequency (%) | |
| 9.92 | 1 | 0.2% | |
| 9.91 | 1 | 0.2% | |
| 9.87 | 1 | 0.2% | |
| 9.82 | 1 | 0.2% | |
| 9.8 | 3 | 0.8% |
Research
Boolean
| Distinct | 2 |
|---|---|
| Distinct (%) | 0.5% |
| Missing | 0 |
| Missing (%) | 0.0% |
| Memory size | 3.1 KiB |
| 1 | |
|---|---|
| 0 |
| Value | Count | Frequency (%) | |
| 1 | 219 | 54.8% | |
| 0 | 181 | 45.2% |
Chance of Admit
Real number (ℝ≥0)
| Distinct | 60 |
|---|---|
| Distinct (%) | 15.0% |
| Missing | 0 |
| Missing (%) | 0.0% |
| Infinite | 0 |
| Infinite (%) | 0.0% |
| Mean | 0.72435 |
|---|---|
| Minimum | 0.34 |
| Maximum | 0.97 |
| Zeros | 0 |
| Zeros (%) | 0.0% |
| Memory size | 3.1 KiB |
Quantile statistics
| Minimum | 0.34 |
|---|---|
| 5-th percentile | 0.46 |
| Q1 | 0.64 |
| median | 0.73 |
| Q3 | 0.83 |
| 95-th percentile | 0.94 |
| Maximum | 0.97 |
| Range | 0.63 |
| Interquartile range (IQR) | 0.19 |
Descriptive statistics
| Standard deviation | 0.1426093302 |
|---|---|
| Coefficient of variation (CV) | 0.1968790366 |
| Kurtosis | -0.3891259175 |
| Mean | 0.72435 |
| Median Absolute Deviation (MAD) | 0.09 |
| Skewness | -0.3534480999 |
| Sum | 289.74 |
| Variance | 0.02033742105 |
| Monotocity | Not monotonic |
Histogram with fixed size bins (bins=50)
| Value | Count | Frequency (%) | |
| 0.64 | 17 | 4.2% | |
| 0.71 | 16 | 4.0% | |
| 0.72 | 15 | 3.8% | |
| 0.73 | 13 | 3.2% | |
| 0.78 | 12 | 3.0% | |
| 0.76 | 12 | 3.0% | |
| 0.94 | 12 | 3.0% | |
| 0.79 | 12 | 3.0% | |
| 0.7 | 12 | 3.0% | |
| 0.74 | 11 | 2.8% | |
| Other values (50) | 268 | 67.0% |
| Value | Count | Frequency (%) | |
| 0.34 | 2 | 0.5% | |
| 0.36 | 2 | 0.5% | |
| 0.38 | 2 | 0.5% | |
| 0.39 | 1 | 0.2% | |
| 0.42 | 3 | 0.8% |
| Value | Count | Frequency (%) | |
| 0.97 | 4 | 1.0% | |
| 0.96 | 7 | 1.8% | |
| 0.95 | 4 | 1.0% | |
| 0.94 | 12 | 3.0% | |
| 0.93 | 9 | 2.2% |
Pearson's r
The Pearson's correlation coefficient (r) is a measure of linear correlation between two variables. It's value lies between -1 and +1, -1 indicating total negative linear correlation, 0 indicating no linear correlation and 1 indicating total positive linear correlation. Furthermore, r is invariant under separate changes in location and scale of the two variables, implying that for a linear function the angle to the x-axis does not affect r.To calculate r for two variables X and Y, one divides the covariance of X and Y by the product of their standard deviations.
Spearman's ρ
The Spearman's rank correlation coefficient (ρ) is a measure of monotonic correlation between two variables, and is therefore better in catching nonlinear monotonic correlations than Pearson's r. It's value lies between -1 and +1, -1 indicating total negative monotonic correlation, 0 indicating no monotonic correlation and 1 indicating total positive monotonic correlation.To calculate ρ for two variables X and Y, one divides the covariance of the rank variables of X and Y by the product of their standard deviations.
Kendall's τ
Similarly to Spearman's rank correlation coefficient, the Kendall rank correlation coefficient (τ) measures ordinal association between two variables. It's value lies between -1 and +1, -1 indicating total negative correlation, 0 indicating no correlation and 1 indicating total positive correlation.To calculate τ for two variables X and Y, one determines the number of concordant and discordant pairs of observations. τ is given by the number of concordant pairs minus the discordant pairs divided by the total number of pairs.
Phik (φk)
Phik (φk) is a new and practical correlation coefficient that works consistently between categorical, ordinal and interval variables, captures non-linear dependency and reverts to the Pearson correlation coefficient in case of a bivariate normal input distribution. There is extensive documentation available here.First rows
| Serial No. | GRE Score | TOEFL Score | University Rating | SOP | LOR | CGPA | Research | Chance of Admit | |
|---|---|---|---|---|---|---|---|---|---|
| 0 | 1 | 337 | 118 | 4 | 4.5 | 4.5 | 9.65 | 1 | 0.92 |
| 1 | 2 | 324 | 107 | 4 | 4.0 | 4.5 | 8.87 | 1 | 0.76 |
| 2 | 3 | 316 | 104 | 3 | 3.0 | 3.5 | 8.00 | 1 | 0.72 |
| 3 | 4 | 322 | 110 | 3 | 3.5 | 2.5 | 8.67 | 1 | 0.80 |
| 4 | 5 | 314 | 103 | 2 | 2.0 | 3.0 | 8.21 | 0 | 0.65 |
| 5 | 6 | 330 | 115 | 5 | 4.5 | 3.0 | 9.34 | 1 | 0.90 |
| 6 | 7 | 321 | 109 | 3 | 3.0 | 4.0 | 8.20 | 1 | 0.75 |
| 7 | 8 | 308 | 101 | 2 | 3.0 | 4.0 | 7.90 | 0 | 0.68 |
| 8 | 9 | 302 | 102 | 1 | 2.0 | 1.5 | 8.00 | 0 | 0.50 |
| 9 | 10 | 323 | 108 | 3 | 3.5 | 3.0 | 8.60 | 0 | 0.45 |
Last rows
| Serial No. | GRE Score | TOEFL Score | University Rating | SOP | LOR | CGPA | Research | Chance of Admit | |
|---|---|---|---|---|---|---|---|---|---|
| 390 | 391 | 314 | 102 | 2 | 2.0 | 2.5 | 8.24 | 0 | 0.64 |
| 391 | 392 | 318 | 106 | 3 | 2.0 | 3.0 | 8.65 | 0 | 0.71 |
| 392 | 393 | 326 | 112 | 4 | 4.0 | 3.5 | 9.12 | 1 | 0.84 |
| 393 | 394 | 317 | 104 | 2 | 3.0 | 3.0 | 8.76 | 0 | 0.77 |
| 394 | 395 | 329 | 111 | 4 | 4.5 | 4.0 | 9.23 | 1 | 0.89 |
| 395 | 396 | 324 | 110 | 3 | 3.5 | 3.5 | 9.04 | 1 | 0.82 |
| 396 | 397 | 325 | 107 | 3 | 3.0 | 3.5 | 9.11 | 1 | 0.84 |
| 397 | 398 | 330 | 116 | 4 | 5.0 | 4.5 | 9.45 | 1 | 0.91 |
| 398 | 399 | 312 | 103 | 3 | 3.5 | 4.0 | 8.78 | 0 | 0.67 |
| 399 | 400 | 333 | 117 | 4 | 5.0 | 4.0 | 9.66 | 1 | 0.95 |